Zooming from global to local: a multiscale RBF approach
From MaRDI portal
Publication:2363516
DOI10.1007/s10444-016-9498-4zbMath1369.41002arXiv1406.1333OpenAlexW1594500994WikidataQ126054971 ScholiaQ126054971MaRDI QIDQ2363516
Ian H. Sloan, Holger Wendland, Quoc Thong Le Gia
Publication date: 19 July 2017
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.1333
Related Items (4)
On Multiscale Quasi-Interpolation of Scattered Scalar- and Manifold-Valued Functions ⋮ Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data ⋮ Solving Partial Differential Equations with Multiscale Radial Basis Functions ⋮ Multilevel RBF collocation method for the fourth-order thin plate problem
Cites Work
- Data compression on the sphere using multiscale radial basis function approximation
- Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere
- Multiscale analysis in Sobolev spaces on bounded domains
- Continuous and discrete least-squares approximation by radial basis functions on spheres
- Approximation power of RBFs and their associated SBFs: a connection
- On the computation of nonnegative quadrature weights on the sphere
- On the representation of smooth functions on the sphere using finitely many bits
- Wavelets on the 2-sphere: A group-theoretical approach
- A Duchon framework for the sphere
- Minimal discrete energy on the sphere
- Polyharmonic and related kernels on manifolds: interpolation and approximation
- Spherical harmonics
- Positive definite functions on spheres
- Spherical Marcinkiewicz-Zygmund inequalities and positive quadrature
- Multiscale Analysis in Sobolev Spaces on the Sphere
- Numerical Integration on the Sphere
- Localized Tight Frames on Spheres
- Strictly Positive Definite Functions on Spheres
- Scattered Data Interpolation on Spheres: Error Estimates and Locally Supported Basis Functions
- A necessary and sufficient condition for strictly positive definite functions on spheres
- Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere
- Polynomial approximation on the sphere using scattered data
- Scattered Data Approximation
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Zooming from global to local: a multiscale RBF approach
